Edit Profile (opens in new tab) Gagnon, Ludovick Co-Author Distance Author ID: gagnon.ludovick Published as: Gagnon, Ludovick Documents Indexed: 27 Publications since 1984, including 3 Additional arXiv Preprints Co-Authors: 11 Co-Authors with 7 Joint Publications 289 Co-Co-Authors all top 5 Co-Authors 8 single-authored 9 Winternitz, Pavel 3 Hussin, Véronique 2 Beckers, Jules 2 Harnad, John 2 Hayat, Amaury 2 Urquiza, José Manuel 2 Xiang, Shengquan 2 Zhang, Christophe 1 Buffe, Rémi 1 Cavalcanti, Marcelo Moreira 1 Cavalcanti, Valeria Domingos 1 Coron, Jean-Michel 1 Fournier, Gilles 1 Grammaticos, Basil 1 Hurtubise, Jacques C. 1 Légaré, Martin 1 Lina, Jean-Marc 1 Lissy, Pierre 1 Marx, Swann 1 Morancey, Morgan 1 Ramani, Alfred all top 5 Serials 6 Journal of Physics A: Mathematical and General 5 Journal of Mathematical Physics 2 SIAM Journal on Control and Optimization 1 Discrete Mathematics 1 Letters in Mathematical Physics 1 Journal of Differential Equations 1 Journal of Functional Analysis 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 Discrete and Continuous Dynamical Systems 1 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 1 Canadian Journal of Physics 1 Evolution Equations and Control Theory all top 5 Fields 16 Partial differential equations (35-XX) 8 Systems theory; control (93-XX) 4 Dynamical systems and ergodic theory (37-XX) 4 Quantum theory (81-XX) 3 Nonassociative rings and algebras (17-XX) 3 Topological groups, Lie groups (22-XX) 3 Global analysis, analysis on manifolds (58-XX) 3 Numerical analysis (65-XX) 3 Mechanics of particles and systems (70-XX) 2 Ordinary differential equations (34-XX) 2 Fluid mechanics (76-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Category theory; homological algebra (18-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Differential geometry (53-XX) 1 General topology (54-XX) 1 Optics, electromagnetic theory (78-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 20 Publications have been cited 29 times in 25 Documents Cited by ▼ Year ▼ Symmetry classes of variable coefficient nonlinear Schrödinger equations. Zbl 0821.35128 Gagnon, L.; Winternitz, P. 35 1993 Lie symmetries of a generalised nonlinear Schrödinger equation. II: Exact solutions. Zbl 0707.35145 Gagnon, L.; Winternitz, P. 30 1989 Lie symmetries of a generalised nonlinear Schrödinger equation. I: The symmetry group and its subgroups. Zbl 0694.35174 Gagnon, L.; Winternitz, P. 29 1988 Lie symmetries of a generalised nonlinear Schrödinger equation. III: Reductions to third-order ordinary differential equations. Zbl 0707.35146 Gagnon, L.; Grammaticos, B.; Ramani, A.; Winternitz, P. 22 1989 Rapid stabilization of a linearized bilinear 1-D Schrödinger equation. Zbl 1392.35281 Coron, Jean-Michel; Gagnon, Ludovick; Morancey, Morgan 18 2018 Abelian integrals and the reduction method for an integrable Hamiltonian system. Zbl 0597.70020 Gagnon, L.; Harnad, J.; Winternitz, P.; Hurtubise, J. 15 1985 Superposition formulas for nonlinear superequations. Zbl 0726.58065 Beckers, J.; Gagnon, L.; Hussin, V.; Winternitz, P. 10 1990 Symmetric Daubechies’ wavelets and numerical solution of NLS equations. Zbl 0846.65050 Gagnon, L.; Lina, J. M. 8 1994 Nonlinear differential equations and Lie superalgebras. Zbl 0622.34067 Beckers, J.; Gagnon, L.; Hussin, V.; Winternitz, P. 6 1987 Self-similar solutions of a coupled system of nonlinear Schrödinger equations. Zbl 0754.35156 Gagnon, L. 6 1992 Lagrangian controllability of the 1-dimensional Korteweg-de Vries equation. Zbl 1452.35166 Gagnon, Ludovick 5 2016 Nonlinear equations with superposition formulas and exceptional group \(G_ 2\). III: The superposition formulas. Zbl 0655.22015 Gagnon, L.; Hussin, V.; Winternitz, P. 3 1988 Reductions by isometries of the self-dual Yang–Mills equations in four- dimensional Euclidean space. Zbl 0780.53058 Kovalyov, M.; Légaré, M.; Gagnon, L. 3 1993 A Fredholm transformation for the rapid stabilization of a degenerate parabolic equation. Zbl 1472.93154 Gagnon, Ludovick; Lissy, Pierre; Marx, Swann 3 2021 Qualitative description of the particle trajectories for the \(N\)-solitons solution of the Korteweg-de Vries equation. Zbl 1382.35256 Gagnon, Ludovick 2 2017 Equations of motion and wave functions in spherical coordinates for an integrable Hamiltonian system. Zbl 0678.70014 Gagnon, L. 1 1989 Continuous subgroups of the Galilei and Galilei-similitude groups. Zbl 1043.17512 Gagnon, L. 1 1989 Quelques solutions exactes à la théorie d’auto-focalisation optique obtenues par la méthode de réduction par symétries. (Certain exact solutions to the theory of optical auto-focussing obtained by the method of symmetry reduction). Zbl 0743.35073 Gagnon, L. 1 1990 Asymptotic fixed point theorem for infinite partially ordered sets. (Théorème de point fixe asymptotique dans les ordonnés infinis.) Zbl 0827.06001 Fournier, G.; Gagnon, L. 1 1994 Fredholm transformation on Laplacian and rapid stabilization for the heat equation. Zbl 1501.93034 Gagnon, Ludovick; Hayat, Amaury; Xiang, Shengquan; Zhang, Christophe 1 2022 Fredholm transformation on Laplacian and rapid stabilization for the heat equation. Zbl 1501.93034 Gagnon, Ludovick; Hayat, Amaury; Xiang, Shengquan; Zhang, Christophe 1 2022 A Fredholm transformation for the rapid stabilization of a degenerate parabolic equation. Zbl 1472.93154 Gagnon, Ludovick; Lissy, Pierre; Marx, Swann 3 2021 Rapid stabilization of a linearized bilinear 1-D Schrödinger equation. Zbl 1392.35281 Coron, Jean-Michel; Gagnon, Ludovick; Morancey, Morgan 18 2018 Qualitative description of the particle trajectories for the \(N\)-solitons solution of the Korteweg-de Vries equation. Zbl 1382.35256 Gagnon, Ludovick 2 2017 Lagrangian controllability of the 1-dimensional Korteweg-de Vries equation. Zbl 1452.35166 Gagnon, Ludovick 5 2016 Symmetric Daubechies’ wavelets and numerical solution of NLS equations. Zbl 0846.65050 Gagnon, L.; Lina, J. M. 8 1994 Asymptotic fixed point theorem for infinite partially ordered sets. (Théorème de point fixe asymptotique dans les ordonnés infinis.) Zbl 0827.06001 Fournier, G.; Gagnon, L. 1 1994 Symmetry classes of variable coefficient nonlinear Schrödinger equations. Zbl 0821.35128 Gagnon, L.; Winternitz, P. 35 1993 Reductions by isometries of the self-dual Yang–Mills equations in four- dimensional Euclidean space. Zbl 0780.53058 Kovalyov, M.; Légaré, M.; Gagnon, L. 3 1993 Self-similar solutions of a coupled system of nonlinear Schrödinger equations. Zbl 0754.35156 Gagnon, L. 6 1992 Superposition formulas for nonlinear superequations. Zbl 0726.58065 Beckers, J.; Gagnon, L.; Hussin, V.; Winternitz, P. 10 1990 Quelques solutions exactes à la théorie d’auto-focalisation optique obtenues par la méthode de réduction par symétries. (Certain exact solutions to the theory of optical auto-focussing obtained by the method of symmetry reduction). Zbl 0743.35073 Gagnon, L. 1 1990 Lie symmetries of a generalised nonlinear Schrödinger equation. II: Exact solutions. Zbl 0707.35145 Gagnon, L.; Winternitz, P. 30 1989 Lie symmetries of a generalised nonlinear Schrödinger equation. III: Reductions to third-order ordinary differential equations. Zbl 0707.35146 Gagnon, L.; Grammaticos, B.; Ramani, A.; Winternitz, P. 22 1989 Equations of motion and wave functions in spherical coordinates for an integrable Hamiltonian system. Zbl 0678.70014 Gagnon, L. 1 1989 Continuous subgroups of the Galilei and Galilei-similitude groups. Zbl 1043.17512 Gagnon, L. 1 1989 Lie symmetries of a generalised nonlinear Schrödinger equation. I: The symmetry group and its subgroups. Zbl 0694.35174 Gagnon, L.; Winternitz, P. 29 1988 Nonlinear equations with superposition formulas and exceptional group \(G_ 2\). III: The superposition formulas. Zbl 0655.22015 Gagnon, L.; Hussin, V.; Winternitz, P. 3 1988 Nonlinear differential equations and Lie superalgebras. Zbl 0622.34067 Beckers, J.; Gagnon, L.; Hussin, V.; Winternitz, P. 6 1987 Abelian integrals and the reduction method for an integrable Hamiltonian system. Zbl 0597.70020 Gagnon, L.; Harnad, J.; Winternitz, P.; Hurtubise, J. 15 1985 all cited Publications top 5 cited Publications all top 5 Cited by 38 Authors 5 Coron, Jean-Michel 4 Hayat, Amaury 4 Xiang, Shengquan 4 Zhang, Christophe 3 Gagnon, Ludovick 2 Flamarion, Marcelo V. 2 Jammazi, Chaker 2 Marx, Swann 2 Nguyen, Hoai-Minh 2 Sogoré, Mohamed 2 Yan, Weiping 1 Astolfi, Daniele 1 Balogoun, Ismaïla 1 Baudouin, Lucie 1 Cauvin-Vila, Jean 1 Chowdhury, Shirshendu 1 Dutta, Rajib 1 Ehrlacher, Virginie 1 Floridia, Giuseppe 1 Godoy, Pamela 1 Hu, Long 1 Krstić, Miroslav 1 Li, Weijia 1 Liao, Jiajiang 1 Lissy, Pierre 1 Majumdar, Subrata 1 Mercado, Alberto 1 Nitsch, Carlo 1 Olive, Guillaume 1 Ouzahra, Mohamed 1 Rivas, Ivonne 1 Shang, Peipei 1 Shangguan, Yuqi 1 Steeves, Drew 1 Sueur, Franck 1 Trombetti, Cristina 1 Vazquez, Rafael 1 Zhang, Ping all top 5 Cited in 14 Serials 6 SIAM Journal on Control and Optimization 4 Journal of Differential Equations 3 Systems & Control Letters 2 Archive for Rational Mechanics and Analysis 1 Journal of Mathematical Analysis and Applications 1 Wave Motion 1 Journal of Functional Analysis 1 Asymptotic Analysis 1 Journal of Nonlinear Science 1 European Journal of Control 1 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 1 Analysis & PDE 1 Mathematical Control and Related Fields 1 Trends in Computational and Applied Mathematics all top 5 Cited in 8 Fields 21 Systems theory; control (93-XX) 19 Partial differential equations (35-XX) 5 Fluid mechanics (76-XX) 1 Ordinary differential equations (34-XX) 1 Operator theory (47-XX) 1 Numerical analysis (65-XX) 1 Quantum theory (81-XX) 1 Statistical mechanics, structure of matter (82-XX) Citations by Year